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Finding the Fourth Proportional to 1,845.70, 2,767.86 and 612.88

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Solution

The fourth proportional to 1,845.70, 2,767.86 and 612.88 is: 919.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.70 : 2,767.86 = 612.88 : x
  2. Step 2: Convert to fraction form
    1,845.70/2,767.86 = 612.88/x
  3. Step 3: Cross multiply
    1,845.70x = 2,767.86 × 612.88
  4. Step 4: Simplify right side
    1,845.70x = 1,696,366.04
  5. Step 5: Solve for x
    x = 1,696,366.04/1,845.70
  6. Step 6: Final answer
    x = 919.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.